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Finding the Fourth Proportional to 317.61, 437.81 and 200.97

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Solution

The fourth proportional to 317.61, 437.81 and 200.97 is: 277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.61 : 437.81 = 200.97 : x
  2. Step 2: Convert to fraction form
    317.61/437.81 = 200.97/x
  3. Step 3: Cross multiply
    317.61x = 437.81 × 200.97
  4. Step 4: Simplify right side
    317.61x = 87,985.67
  5. Step 5: Solve for x
    x = 87,985.67/317.61
  6. Step 6: Final answer
    x = 277.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.